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Finding the Fourth Proportional to 23,006.70, 31,750.37 and 12,938.31

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Solution

The fourth proportional to 23,006.70, 31,750.37 and 12,938.31 is: 17,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.70 : 31,750.37 = 12,938.31 : x
  2. Step 2: Convert to fraction form
    23,006.70/31,750.37 = 12,938.31/x
  3. Step 3: Cross multiply
    23,006.70x = 31,750.37 × 12,938.31
  4. Step 4: Simplify right side
    23,006.70x = 410,796,129.67
  5. Step 5: Solve for x
    x = 410,796,129.67/23,006.70
  6. Step 6: Final answer
    x = 17,855.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.